"Determination of Congruent Triangles" Congruent Triangles PPT Courseware 2

Description

"Determination of Congruent Triangles" Congruent Triangles PPT Courseware 2

Knowledge review

1. What are congruent triangles?

Two triangles that can overlap are called congruent triangles.

2. Given △ABC ≌△ DEF, find the equal sides and angles

think:

1. Can △ABC ≌△DEF be guaranteed by meeting these six conditions?

2. If only some of these conditions are met, is it guaranteed that △ABC ≌△DEF?

Side-side axiom:

Two triangles with three corresponding equal sides are congruent.

Abbreviated as "Bian Bian Bian" or "SSS"

Note: This theorem shows that as long as the lengths of the three sides of a triangle are determined, the shape and size of the triangle are completely determined. This is also the principle of the stability of the triangle.

Steps for writing proof:

①Preparatory conditions: The conditions to be used when proving congruence must be proved first;

②Three steps to write congruent triangles:

Write in which two triangles

Put three conditions enclosed in curly brackets

write congruent conclusions

summary:

1. Side-side-side axiom: Two triangles with three corresponding equal sides are congruent, abbreviated as "side-side-side" (SSS)

2. Mathematical methods used in the process of discovering axioms side by side (including drawing, conjecture, analysis, induction, etc.)

3. Mathematical methods used in the application of edge-edge axioms:

Prove that line segments (or angles) are congruent. Convert to prove that the two triangles where the line segments (or angles) are located are congruent.

Note that two triangles are congruent:

1. The conditions required to show that two triangles are congruent should be written in the order of the corresponding sides.

2. The sides appearing in the conclusion must be in the two triangles proved.

3. Sometimes it is necessary to add auxiliary lines (such as creating a common edge)

Keywords: Congruent Triangles courseware, Congruent Triangles Judgment courseware, New People's Education Edition eighth grade mathematics PPT courseware, Eighth grade mathematics slide courseware download, Congruent Triangles PPT courseware download, Congruent Triangles Judgment PPT courseware download, .ppt format

For more information about the PPT courseware "Judgment of Congruent Triangles Congruent Triangles", please click on the Judgment of Congruent Triangles ppt Congruent Triangles ppt tag.

"Determination of Congruent Triangles" PPT courseware 5:

"Determination of Congruent Triangles" PPT Courseware 5 Teaching Objectives In the teaching of this lesson, not only should students learn how to identify congruent triangles with sides, angles, and sides, but more importantly, students should master the method of researching problems and initially Understand the mathematical ideas of classification discussion. From...

"Determination of Congruent Triangles" PPT courseware 4:

"Determination of Congruent Triangles" PPT Courseware 4 Write the converse of the following proposition. The corresponding sides of congruent triangles are equal, the corresponding angles are equal, the corresponding sides are equal, and the corresponding angles are equal. Conjecture that each triangle has three sides and three angles , if you want to judge two triangles...

"Determination of Congruent Triangles" PPT courseware 3:

"Determination of Congruent Triangles" PPT Courseware 3 Discussion: In the above, according to the given conditions, two triangles with different shapes are drawn. This shows that when the two sides of the two triangles and the opposite angle of one of the sides are equal, , these two triangles are not necessarily congruent, do you think...

File Info

Update Time: 2024-11-18

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

Preview